Viral dynamics of an HIV model with pulse antiretroviral therapy and adherence
Volume 11, Issue 4, pp 516--528
http://dx.doi.org/10.22436/jnsa.011.04.08
Publication Date: March 19, 2018
Submission Date: September 18, 2017
Revision Date: November 17, 2017
Accteptance Date: January 29, 2018
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Authors
Youping Yang
- School of Mathematics and Statistics, Shandong Normal University, Jinan, 250014, P. R. China.
Abstract
An immunological model of HIV-1 infection that accounts for
antiretroviral drug uptake via explicit compartments is considered.
Different from traditional methods where the drug effects is
modeled implicitly as a proportional inhibition of viral infection
and production, in this paper, it is assumed that the CD4\(^+\) T
cells can 'prey on' the antiretroviral drugs and become the cells
which cannot be infected or produce new virions. Drug dymamics is
modeled applying impulsive differential equations. The basic
reproductive number \(R_0\) is defined via the next infection
operator. It is shown that with perfect adherence the virus can be
eradicated permanently if \(R_0\) is less than unity, otherwise, the
virus can persist by applying persistent theory. The effects of
imperfect adherence are also explored. The results indicate that
even for the same degree of adherence, different adherence patterns
may lead to different therapy outcomes. In particular, for regular
dosage missing, the more dosages are consecutively missed, the worse
therapy outcomes will be.
Share and Cite
ISRP Style
Youping Yang, Viral dynamics of an HIV model with pulse antiretroviral therapy and adherence, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 4, 516--528
AMA Style
Yang Youping, Viral dynamics of an HIV model with pulse antiretroviral therapy and adherence. J. Nonlinear Sci. Appl. (2018); 11(4):516--528
Chicago/Turabian Style
Yang, Youping. "Viral dynamics of an HIV model with pulse antiretroviral therapy and adherence." Journal of Nonlinear Sciences and Applications, 11, no. 4 (2018): 516--528
Keywords
- Impulsive therapy
- imperfect adherence
- basic reproductive number
- adherence pattern
MSC
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